ABSTRACT Computing square roots over finite fields is a problem of interest, especially to understanding which algorithm is efficient, and how it works well. There are several known algorithms that computes square roots over finite fields, of all of them the shank’s algorithm is known to be the most efficient. The objective of this dissertation is to survey the square root computing algorithms over finite fields, particularly we consider the the Shank’s algorithm for computing square roo...
ABSTRACT This project research titled “Design and Implementation of an Online Journal Management System which is a case study of Sokoto International Journal of Counselling Psychology (SIJCP)” is a web-based system which is aimed at using the potent ability of the Computer System to solve many of the challenges faced by the current manual system of Journal and Publication processes. It provides numerous benefits which include: Automation of the Submission process, review process, payment ...
ABSTRACT Mathematical models describing the variations in the plasma glucose and J insulin levels over time in an insulin - dependent diabetic person (IDD patient) were formulated. We showed that these models can correctly describe these variations when we solved them sirnuttaneously by andytical approach rather than the normal numerical approach employed for solving non-linear differential equations. The effect of the various parameters involved in the model were tested and it was shown tha...
ABSTRACT In this research, we investigated the deformation field near a crack tip due to thermal stress. Crack tip singularities are examined using a line integral that exhibits path independence of all contours near the tip of the crack in a two-dimensional deformation field of an elastic material. The approach of using the J- Integral is used to extract the magnitude of crack tip stress intensity factor for thermal stress crack problem. The characteristics of the J-integral in the presence...
ABSTRACT: Infectious disease has become a source of fear and superstition since the first ages of human civilization. In this study, we consider the Discrete SIR model for disease transmission to explain the use of this model and also show significant explanation as regard the model. We discuss the mathematics behind the model and various tools for judging effectiveness of policies ...
ABSTRACT In this project work, we studied the Adams-Bashforth scheme for solving initial value problems. We gave an indebt explanation on the Adam-Bashforth scheme, its consistency, stability, and convergence, the two and three step methods were also derived. Numerical solutions were obtained using four (4) examples. TABLE OF CONTENTS Cover page i �...
Contents 1 General Introduction 1 1.1 Background of Study . . . . . . . . . .1 1.2 Integral Equation . . . . . . . . . .......2 1.2.1 Fredholm integral equation . . .3 1.2.2 Volterra integral equation . . . . 4 1.3 Polynomials . . . . . . . . . . . . . . . . . 4 1.4 Orthogonal Polynomials . . . . . . .5 1.5 Chebyshev Polynomials . . . . . . . 6 1.5.1 Chebyshev polynomial of the first kind Tr(x) . . . . . 6 1.5.2 Chebyshev polynomial of second kind Ur(x) . . . . . 6 1.5.3 Chebyshev polynomials...
ABSTRACT In this project work, we have established a systematic study of z transform and its analysis on Discrete Time (DT) systems. The researcher also deal with Linear Time Invariant (LTI) system and Difference Equation as examples of DT systems. The right and left shift was use as a method of solution of the z transform to linear difference equation. CHAPTER 1 �...
It is said that mathematics is the gate and key of the sciences. According to the famous philosopher Kant, “A science is exact only in so far as it employs mathematics”. So all scientific education which does not commence with mathematics is said to be defective at its foundation, In fact it has formed the basis for the evolution of scientific development all over. Taking into cognizance, the usefulness, relevance and importance of mathematics, like bringing positive changes to the scient...
Linear programming is a mathematical tool that is used to maximize or minimize a function when constraints are linear. In this project, we considered some examples and applications of linear programming problems. TABLE OF CONTENTS Title page Certification Dedication Acknowledgements Abstract Table of Contents List of Tables�...
ABSTRACT In the period of the 1970’s, Agriculture was the main stay of the Nigeria economy. The oil boom of 1970’s brought about a gradual shift from agriculture to crude oil making Nigeria to depend heavily on petroleum as main source of foreign exchange earnings. Agriculture sector which use to be the back bone of the economy was rendered competitive over time. The crux of this study is to analyze the revenue generated from selected non-oil produce in Nigeria. Dat...
In Financial Institutions such as banks and other firms, we face financial risk which emanates from different source. Credit Risk as one of the prominent risk, had been found to reduce the efficiency of banks and other financial firms, hence, the research to model the risk . In this project, several models used to evaluate credit risk, including their drawbacks, frame works and strengths are reviewed.
ABSTRACT In this paper we introduce, numerical study of some iterative methods for solving non linear equations. Many iterative methods for solving algebraic and transcendental equations are presented by the different formulae. Using bisection method, false position method, secant method and the Newton’s iterative method and their results are compared. The bisection, Regular Falsi, Newton-Raphson and secant method were applied to a single variable function over the interval [0,1]. Numerical...
In this research work, we have reviewed and studied two disease models: a disease model with logistic recruitment rate with and without incubation period and a disease model with linear recruitment rate with and without incubation period. The existence and stability or otherwise of the equilibrium states of the models were studied; also numerical experiments were conducted using a written computer program in MATLAB function ode45; for which table of parameter values were generated using sec...
Abstract The fundamental idea of the project is to provide basic and concrete concepts of the fuzzy set theory, and thus focused on easy illustrations of the basic concepts. There are numerous examples and figures to help readers to understand. It tries to explain the emergence of fuzzy sets from historical perspective. Looking back to the history of sciences, it seems that fuzzy sets were bound to appear at some point in the 20th century. Indeed, Zadeh's works have cristalized and popularize...